Woman apologises for racist rant on Aussie train

The family of a woman filmed screaming racist abuse at a fellow passenger on a Melbourne train for ten minutes has apologised on her behalf.

But her victims say it isn't enough.

In a statement read to the Herald Sun, the 37-year-old woman's brother said she was going through a "difficult time" and was sorry for the tirade in which she shouted that her grandfather fought in World War II to keep "black -----" out.

"The woman is regretful for her actions on Wednesday night and is sorry for any hurt she may have caused," the statement said.

"She wishes to apologise to the passengers on the train and any members of the public who may have taken offence to the abusive and racist remarks."

He said she was also seeking help for her problems.

But two of the targets of the woman's abuse say they want to hear the word "sorry" straight from her mouth.